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  • © 2011

Waves and Structures in Nonlinear Nondispersive Media

General Theory and Applications to Nonlinear Acoustics

  • First book devoted completely to nonlinear structures (shocks, fronts, sawtooth waves, and 3D cell structures)
  • Describes nonlinear phenomena observed in astrophysics, acoustics, mechanics, geophysics, and oceanology
  • Contains mathematical models, general theory, examples and engineering applications
  • Can also be used as a textbook due to the clarity of presentation

Part of the book series: Nonlinear Physical Science (NPS)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xiv
  2. Foundations of the Theory of Waves in Nondispersive Media

    1. Front Matter

      Pages 1-1
    2. Nonlinear Equations of the First Order

      • S. N. Gurbatov, O. V. Rudenko, A. I. Saichev
      Pages 3-37
    3. Generalized Solutions of Nonlinear Equations

      • S. N. Gurbatov, O. V. Rudenko, A. I. Saichev
      Pages 39-82
    4. Nonlinear Equations of the Second Order

      • S. N. Gurbatov, O. V. Rudenko, A. I. Saichev
      Pages 83-115
    5. Field Evolution Within the Framework of the Burgers Equation

      • S. N. Gurbatov, O. V. Rudenko, A. I. Saichev
      Pages 117-152
    6. Evolution of a Noise Field Within the Framework of the Burgers Equation

      • S. N. Gurbatov, O. V. Rudenko, A. I. Saichev
      Pages 153-187
    7. Multidimensional Nonlinear Equations

      • S. N. Gurbatov, O. V. Rudenko, A. I. Saichev
      Pages 189-244
  3. Mathematical Models and Physical Phenomena in Nonlinear Acoustics

    1. Front Matter

      Pages 245-245
    2. Model Equations and Methods of Finding Their Exact Solutions

      • S. N. Gurbatov, O. V. Rudenko, A. I. Saichev
      Pages 247-269
    3. Types of Acoustic Nonlinearities and Methods of Nonlinear Acoustic Diagnostics

      • S. N. Gurbatov, O. V. Rudenko, A. I. Saichev
      Pages 271-307
    4. Nonlinear Sawtooth Waves

      • S. N. Gurbatov, O. V. Rudenko, A. I. Saichev
      Pages 309-355
    5. Self-action of Spatially Bounded Waves Containing Shock Fronts

      • S. N. Gurbatov, O. V. Rudenko, A. I. Saichev
      Pages 357-387
  4. Back Matter

    Pages 441-472

About this book

"Waves and Structures in Nonlinear Nondispersive Media: General Theory and Applications to Nonlinear Acoustics” is devoted completely to nonlinear structures. The general theory is given here in parallel with mathematical models. Many concrete examples illustrate the general analysis of Part I. Part II is devoted to applications to nonlinear acoustics, including specific nonlinear models and exact solutions, physical mechanisms of nonlinearity, sawtooth-shaped wave propagation, self-action phenomena, nonlinear resonances and engineering application (medicine, nondestructive testing, geophysics, etc.).

This book is designed for graduate and postgraduate students studying the theory of nonlinear waves of various physical nature. It may also be useful as a handbook for engineers and researchers who encounter the necessity of taking nonlinear wave effects into account of their work.

Dr. Gurbatov S.N. is the head of Department, and Vice Rector for Research of Nizhny Novgorod State University. Dr. Rudenko O.V. is the Full member of Russian Academy of Sciences, the head of Department at Moscow University and Professor at BTH (Sweden). Dr. Saichev A.I. is the Professor at the Faculty of Radiophysics of Nizhny Novgorod State University, Professor of ETH ZĂĽrich.

Authors and Affiliations

  • Radiophysics Department, Nizhny Novgorod State University, Nizhny Novgorod, Russia

    S. N. Gurbatov, A. I. Saichev

  • Physics Department, Moscow State University, Moscow, Russia

    O. V. Rudenko

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access